On the Exact Evaluation of Integrals of Wavelets
Mathematics, 2023 Wavelet expansions are a powerful tool for constructing adaptive approximations. For this reason, they find applications in a variety of fields, from signal processing to approximation theory.
Enza Pellegrino +2 more
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Long Cycle Factorizations: Bijective Computation in the General Case [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 This paper is devoted to the computation of the number of ordered factorizations of a long cycle in the symmetric group where the number of factors is arbitrary and the cycle structure of the factors is given. Jackson (1988) derived the first closed form
Ekaterina A. Vassilieva
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Reducing the influence of intramodular connectivity in participation coefficient [PDF]
Network Neuroscience, 2020 Both natural and engineered networks are often modular. Whether a network node interacts with only nodes from its own module or nodes from multiple modules provides insight into its functional role. The participation coefficient ( PC) is typically used to measure this attribute, although its value also depends on the size and connectedness of the ...
Pedersen, M +4 more
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Modified localization coefficients for cluster processes identification: a comparative analysis (case study: the Russian rye sector) [PDF]
E3S Web of Conferences, 2020 The paper presents the results of the identification of agrarian clusters. Research is done in connection with the rye sector of Russia taken as a case study. The localization coefficients were calculated from the gross yield of winter rye grain.
Kostenko O V
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On Coefficient Problems for Functions Connected with the Sine Function [PDF]
Symmetry, 2021 In this paper, some coefficient problems for starlike analytic functions with respect to symmetric points are considered. Bounds of several coefficient functionals for functions belonging to this class are provided. The main aim of this paper is to find estimates for the following: coefficients, logarithmic coefficients, some cases of the generalized ...
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Sinc-Fractional Operator on Shannon Wavelet Space
Frontiers in Physics, 2018 In this paper the sinc-fractional derivative is extended to the Hilbert space based on Shannon wavelets. Some new fractional operators based on wavelets are defined.
Carlo Cattani
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Quadratic 𝑞-exponentials and connection coefficient problems [PDF]
Proceedings of the American Mathematical Society, 1999 We establish expansion formulas of q q -exponential functions in terms of continuous
Ismail, Mourad E. H. +2 more
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A Stress Evaluation Method for Grouted Connections of Offshore Wind Turbines
南方能源建设, 2020 [Introduction] Grouted connections are widely used to connect the support structure and the foundation of offshore wind turbines. Therefore, their mechanical properties are very important to the reliability of the whole structure.
CHEN Tao +4 more
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Computing Connection Coefficients Of Compactly Supported Wavelets On Bounded Intervals [PDF]
, 1997 Daubechies wavelet basis functions have many properties that make them desirable as a basis for a Galerkin approach to solving PDEs: they are orthogonal, with compact support, and their connection coefficients can be computed.
Romine, C.H. +5 more
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Convergence order of one regularization method
Mathematical Modelling and Analysis, 2003 The multiscale solution of the Klein‐Gordon equations in the linear theory of (two‐phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets.
S. Guseinov, I. Volodko
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